Search a number
-
+
122022201110000 = 2454199409149921
BaseRepresentation
bin11011101111101010000001…
…111100111010110111110000
3121000001012121222221010102212
4123233222001330322313300
5111443202431441010000
61111304120400431252
734462545616050362
oct3357520174726760
9530035558833385
10122022201110000
1135975363461594
1211828878318528
13531184b398609
14221bc98290d32
15e19126739c35
hex6efa81f3adf0

122022201110000 has 200 divisors, whose sum is σ = 297640446444000. Its totient is φ = 48444549120000.

The previous prime is 122022201109967. The next prime is 122022201110021. The reversal of 122022201110000 is 11102220221.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 813835040 + ... + 813984960.

It is an arithmetic number, because the mean of its divisors is an integer number (1488202232220).

Almost surely, 2122022201110000 is an apocalyptic number.

122022201110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122022201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148820223222000).

122022201110000 is an abundant number, since it is smaller than the sum of its proper divisors (175618245334000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122022201110000 is a wasteful number, since it uses less digits than its factorization.

122022201110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150557 (or 150536 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122022201110000 its reverse (11102220221), we get a palindrome (122033303330221).

The spelling of 122022201110000 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred one million, one hundred ten thousand".